Increasing pressure on Trump to respond, a bipartisan group of US senators on Wednesday triggered a USA investigation into Khashoggi's disappearance using a human rights law.
Trump made Saudi Arabia his first foreign stop as president but in recent weeks has appeared to sour a bit on Riyadh, complaining about the cost of American support for the Saudi military and about oil price increases.
"He shared with me that they only livestream their tapes", Corker said, according to CNN correspondent Manu Raju.
Turkish officials believed that 59-year-old Khashoggi, also a Washington Post contributor, was murdered inside the consulate.
CCTV released by Turkish TV showed a man believed to be Mr Khashoggi enter the consulate as well as a vehicle entering and leaving the building after he went inside. Khashoggi, a Saudi journalist, published critical pieces of the Saudi government and exiled himself to Virginia.
"We're monitoring this very closely, this situation very closely, and we are working closely with [the] State Department", Mattis said.
Rand Paul, another member of the committee, called for a halt on USA arms sales to Saudi Arabia until Khashoggi is found alive. "We're probably getting closer than you might think".
Mr Trump, who took his first overseas trip as United States president to the kingdom and whose son-in-law Jared Kushner has close ties to Prince Mohammed, said he had not yet talked to the Saudis about Khashoggi.
The Post, citing anonymous US officials familiar with the intelligence, said Saudi Crown Prince Mohammed bin Salman ordered an operation to lure Khashoggi from his home in Virginia to Saudi Arabia and then detain him.
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Saudi royal guards, intelligence officers, soldiers and an autopsy expert were part of a 15-member team from the kingdom that targeted missing writer, local Turkish media reported.
Spokeswoman Sarah Huckabee Sanders said the U.S.is continuing to monitor the unfolding investigation in Istanbul, but offered no information about what the crown prince told the USA officials about Khashoggi's disappearance.
"We can confirm that Ambassador Bolton and Jared Kushner have spoken to the crown prince yesterday, and we can confirm as well that the Secretary of State then had a follow-up call with the crown prince to reiterate our request for more information".
Yet Yasin Aktay, an adviser to Erdogan, wrote in a newspaper column today that "bashing Saudi Arabia is meaningless and useless" because "Turkey and Saudi Arabia are two nations that need each other". U.S. Treasury Secretary Steven Mnuchin is now scheduled to attend the event. But he said the U.S.is demanding answers: "We're demanding everything, we want to see what's going on here". He walked into the consulate of Saudi Arabia, his native country, without doubting he would be safe there.
"But as to whether or not we should stop $110 billion from being spent in this country, knowing they have four or five alternatives - two very good alternatives - that would not be acceptable", Trump continued. "Now, as you know, they're saying 'We had nothing to do with it.' But so far everyone's saying they had nothing to do with it".
Khashoggi had fled his homeland in September previous year and had been living in self-imposed exile in the United States, where he had applied for USA citizenship, Cengiz said.
A Turkish official said on October 6 that an "initial assessment" by police concluded Khashoggi had been killed at the consulate.
TRT World also obtained footage showing Khashoggi entering the Saudi consulate on October 2.
Saffuri said he asked Khashoggi if he would return. They haven't searched the consulate yet, as they have promised to do.